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1 Accl g Motion graph prac 1. An object starts from rest and falls freely. What is the velocity of the object at the end of 3.00 seconds? A) 9.81 m/s B) 19.6 m/s C) 29.4 m/s D) 88.2 m/s 2. An object is dropped from rest and falls freely 20. meters to Earth. When is the speed of the object 9.8 meters per second? A) during the entire first second of its fall B) at the end of its first second of fall C) during its entire time of fall D) after it has fallen 9.8 meters 3. Objects A and B are dropped from rest near Earth's surface. Object A has mass m and object B has mass 2m. After 2 seconds of free fall, object A has a speed v and has fallen a distance d. What are the speed and distance of fall of object B after 2 seconds of free fall? A) speed = v/2; distance = d/2 B) speed = v; distance = d C) speed = v/2; distance = 2d D) speed = 2v; distance = 2d 4. A book of mass m falls freely from rest to the floor from the top of a desk of height h. What is the speed of the book upon striking the floor? A) B) C) D) 7. An object is allowed to fall freely near the surface of a planet. The object has an acceleration due to gravity of 24 m/s 2. How far will the object fall during the first second? A) 24 meters B) 12 meters C) 9.8 meters D) 4.9 meters 8. A 1.0-kilogram ball is dropped from the roof of a building 40. meters tall. What is the approximate time of fall? [Neglect air resistance.] A) 2.9 s B) 2.0 s C) 4.1 s D) 8.2 s 9. The displacement-time graph below represents the motion of a cart along a straight line. During which interval was the cart accelerating? A) AB B) BC C) CD D) DE 5. A ball is thrown vertically upward with an initial velocity of 29.4 meters per second. What is the maximum height reached by the ball? [Neglect friction.] A) 14.7 m B) 29.4 m C) 44.1 m D) 88.1 m 6. A rock falls freely from rest near the surface of a planet where the acceleration due to gravity is 4.0 meters per second 2. What is the speed of this rock after it falls 32 meters? A) 8.0 m/s B) 16 m/s C) 25 m/s D) 32 m/s

2 10. The speed-time graph shown on the right represents the motion of an object. 11. The vector diagram below represents the horizontal component, FH, and the vertical component, FV, of a 24-newton force acting at 35 above the horizontal. Which graph best represents the relationship between acceleration and time for this object? A) B) C) What are the magnitudes of the horizontal and vertical components? A) FH = 3.5 N and FV = 4.9 N B) FH = 4.9 N and FV = 3.5 N C) FH = 14 N and FV = 20. N D) FH = 20. N and FV = 14 N 12. Equilibrium exists in a system where three forces are acting concurrently on an object. If the system includes a 5.0-newton force due north and a 2.0-newton force due south, the third force must be A) 7.0 N south B) 7.0 N north C) 3.0 N south D) 3.0 N north D)

3 13. Base your answer to the following question on the information below. A 1,000-kilogram car traveling with a velocity of +20. meters per second decelerates uniformly at 5.0 meters per second 2 until it comes to rest. What is the total distance the car travels as it decelerates to rest? A) 10. m B) 20. m C) 40. m D) 80. m 14. Cars A and B both start from rest at the same location at the same time. 16. Cars A and B both start from rest at the same location at the same time. What is the magnitude of the acceleration of car A during the period between t = 8 seconds and t = 10 seconds? A) 20 m/s 2 B) 16 m/s 2 C) 8 m/s 2 D) 4 m/s 2 Compared to the total distance traveled by car B during the 10 seconds, the total distance traveled by car A is A) less B) greater C) the same 15. Cars A and B both start from rest at the same location at the same time. Compared to the speed of car B at 6 seconds, the speed of car A at 6 seconds is A) less B) greater C) the same

4 Base your answers to questions 17 through 20 on the graph below, which represents the motion of cars A and B on a straight track. Car B passes car A at the same instant that car A starts from rest at t = 0 seconds. 17. What is the acceleration of car A during the interval between t = 0 and t = 60? A) 1 m./sec./sec. B) 10 m./sec./sec. C) 20 m./sec./sec. D) 30 m./sec./sec. 18. How far did car A travel in the interval between t = 0 and t = 60? A) 30 m. B) 360 m. C) 1,800 m. D) 3,600 m. 19. How long after t = 0 did it take car A to catch up to car B? A) 10 sec. B) 20 sec. C) 30 sec. D) 60 sec. 20. During the time intervals given below, which car traveled the greatest distance? A) car A from t = 0 to t = 30 B) car A from t = 30 to t = 60 C) car B from t = 0 to t = 30 D) car B from t = 30 to t = The diagram below represents the relationship between velocity and time of travel for four cars, A, B, C, and D, in straight-line motion. Which car has the greatest acceleration during the time interval 10. seconds to 15 seconds? A) A B) B C) C D) D

5 Base your answers to questions 22 and 23 on the graph below, which represents the motion of a car during a 6.0-second time interval. 22. What is the acceleration of the car at t = 5.0 seconds? A) 0.0 m/s 2 B) 2.0 m/s 2 C) 2.5 m/s 2 D) 10. m/s What is the total distance traveled by the car during this 6.0-second interval? A) 10. m B) 20. m C) 40. m D) 60. m

6 Base your answers to questions 24 through 26 on the information and diagram below. A child is flying a kite, K. A student at point B, located 100. meters away from point A (directly underneath the kite), measures the angle of elevation of the kite from the ground as (Image of kite diagram not to scale) 24. In the space provided above, use a metric ruler and protractor to draw a triangle representing the positions of the kite, K, and point A relative to point B that is given. Label points A and K. Use a scale of 1.0 centimeter = 10. meters. 25. Use a metric ruler and your scale diagram to determine the height, AK, of the kite. 26. A small lead sphere is dropped from the kite. Calculate the amount of time required for the sphere to fall to the ground. [Show all calculations, including the equation and substitution with units. Neglect air resistance.]

7 Answer Key motion g review 1. C 2. B 3. B 4. A 5. C 6. B 7. B 8. A 9. A 10. B 11. D 12. C 13. C 14. D 15. A 16. A 17. A 18. C 19. D 20. B 21. D 22. A 23. C m cm long A - B

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